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Finding the Fourth Proportional to 512.76, 706.38 and 423.66

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Solution

The fourth proportional to 512.76, 706.38 and 423.66 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 706.38 = 423.66 : x
  2. Step 2: Convert to fraction form
    512.76/706.38 = 423.66/x
  3. Step 3: Cross multiply
    512.76x = 706.38 × 423.66
  4. Step 4: Simplify right side
    512.76x = 299,264.95
  5. Step 5: Solve for x
    x = 299,264.95/512.76
  6. Step 6: Final answer
    x = 583.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.